The solution that gives the smallest possible sum of digits in the
common product is 23 × 174 = 58 × 69 = 4,002, and the solution that
gives the largest possible sum of digits, 9×654 =18×327=5,886. In the
first case the digits sum to 6 and in the second case to 27. There is no
way of obtaining the solution but by actual trial.